| 1 | // --- Special Square matrices base class | 
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| 2 | // This code is part of the SOPHYA library | 
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| 3 | //  (C) Univ. Paris-Sud   (C) LAL-IN2P3/CNRS   (C) IRFU-CEA | 
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| 4 | //  (C) R. Ansari, C.Magneville    2009 | 
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| 5 |  | 
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| 6 | #define SPESQMTX_CC_BFILE  // avoid extern template declarations | 
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| 7 | #include "spesqmtx.h" | 
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| 8 | #include "pexceptions.h" | 
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| 9 | #include "tmatrix.h" | 
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| 10 |  | 
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| 11 | namespace SOPHYA { | 
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| 12 | /*! | 
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| 13 | \class SpecialSquareMatrix | 
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| 14 | \ingroup TArray | 
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| 15 | \brief The base class for representing and manipulating special square matrices | 
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| 16 | Diagonal matrix, Symmetric matrix, Triangular matrix | 
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| 17 | This class implements the common operations for special square matrices. Only objects | 
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| 18 |  | 
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| 19 | from the sub-classes (DiagonalMatrix<T>, LowerTriangularMatrix<T>, SymmetricMatrix<T>) | 
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| 20 | can be instanciated. Theses classes offer similar functionalities to the TArray<T> / TMatrix<T> | 
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| 21 | classes, like reference sharing and arithmetic operations. However, no sub-matrix extraction | 
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| 22 | method is provided. | 
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| 23 |  | 
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| 24 | \code | 
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| 25 | // Create and initialize a diagonal matrix | 
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| 26 | DiagonalMatrix<double> diag(3); | 
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| 27 | diag(0,0)=1.;  diag(1,1)=2.;  diag(2,2)=3.; | 
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| 28 | // use of multiplication by a constant operator | 
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| 29 | diag *= 10.; | 
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| 30 | // check the diagonal matrix | 
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| 31 | cout << diag << diag.ConvertToStdMatrix() << endl; | 
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| 32 | // define and initialize a general matrix | 
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| 33 | TMatrix<double> mx(3,3); | 
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| 34 | mx=RegularSequence(); | 
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| 35 | cout << mx; | 
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| 36 | // check the result of a matrix mutiplication | 
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| 37 | cout << mx*diag; | 
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| 38 | \endcode | 
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| 39 | */ | 
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| 40 |  | 
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| 41 | //! Default constructor - SpecialSquareMatrix of size 0, SetSize() should be called before the object is used | 
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| 42 | template <class T> | 
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| 43 | SpecialSquareMatrix<T>::SpecialSquareMatrix(SpSqMtxType typ) | 
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| 44 | : mType(typ) , mNrows(0) , mInfo(NULL) | 
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| 45 | { | 
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| 46 | } | 
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| 47 |  | 
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| 48 | //! Instanciate a  SpecialSquareMatrix matrix from the number of rows (rowSize must be > 0) | 
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| 49 | template <class T> | 
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| 50 | SpecialSquareMatrix<T>::SpecialSquareMatrix(sa_size_t rowSize, SpSqMtxType typ) | 
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| 51 | : mType(typ) , mNrows(rowSize) , mInfo(NULL) | 
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| 52 | { | 
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| 53 | if (rowSize < 1) | 
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| 54 | throw ParmError("SpecialSquareMatrix<T>::SpecialSquareMatrix(rsz) rsz <= 0"); | 
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| 55 | } | 
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| 56 |  | 
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| 57 | //! Copy constructor (possibility of sharing datas) | 
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| 58 | template <class T> | 
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| 59 | SpecialSquareMatrix<T>::SpecialSquareMatrix(SpecialSquareMatrix<T> const & a,  bool share) | 
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| 60 | : mType(a.mType) , mNrows(a.mNrows) , mElems(a.mElems, share)  , mInfo(NULL) | 
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| 61 | { | 
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| 62 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
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| 63 | } | 
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| 64 |  | 
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| 65 | //! Sets or change the matrix size, specifying the new number of rows | 
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| 66 | template <class T> | 
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| 67 | void SpecialSquareMatrix<T>::SetSize(sa_size_t rowSize) | 
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| 68 | { | 
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| 69 | throw  ForbiddenError("SpecialSquareMatrix<T>::SetSize() Only sub-classes should be instanciated"); | 
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| 70 | } | 
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| 71 |  | 
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| 72 | //! Return the object  as a standard (TMatrix<T>) object | 
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| 73 | template <class T> | 
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| 74 | TMatrix<T> SpecialSquareMatrix<T>::ConvertToStdMatrix() const | 
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| 75 | { | 
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| 76 | throw  ForbiddenError("SpecialSquareMatrix<T>::ConvertToStdMatrix() Only sub-classes should be instanciated"); | 
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| 77 | } | 
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| 78 |  | 
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| 79 |  | 
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| 80 |  | 
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| 81 |  | 
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| 82 | //! Clone (duplicate) the SpecialSquareMatrix<T>  matrix \b a | 
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| 83 | template <class T> | 
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| 84 | void SpecialSquareMatrix<T>::Clone(SpecialSquareMatrix<T> const & a) | 
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| 85 | { | 
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| 86 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
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| 87 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Clone()- Different type matrices"); | 
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| 88 | mType = a.mType; | 
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| 89 | mNrows = a.mNrows; | 
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| 90 | mElems.Clone(a.mElems); | 
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| 91 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
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| 92 | } | 
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| 93 |  | 
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| 94 | //! Share the data with \b a | 
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| 95 | template <class T> | 
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| 96 | void SpecialSquareMatrix<T>::Share(SpecialSquareMatrix<T> const & a) | 
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| 97 | { | 
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| 98 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
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| 99 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Share()- Different type matrices"); | 
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| 100 | mType = a.mType; | 
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| 101 | mNrows= a.mNrows; | 
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| 102 | mElems.Share(a.mElems); | 
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| 103 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
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| 104 | } | 
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| 105 |  | 
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| 106 | //! Clone or share the data. Data is shared if \b is flagged as temporary | 
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| 107 | template <class T> | 
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| 108 | void SpecialSquareMatrix<T>::CloneOrShare(SpecialSquareMatrix<T> const & a) | 
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| 109 | { | 
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| 110 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
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| 111 | throw TypeMismatchExc("SpecialSquareMatrix<T>::CloneOrShare()- Different type matrices"); | 
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| 112 | mType = a.mType; | 
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| 113 | mNrows = a.mNrows; | 
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| 114 | mElems.CloneOrShare(a.mElems); | 
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| 115 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
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| 116 | } | 
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| 117 |  | 
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| 118 |  | 
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| 119 |  | 
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| 120 | //! Set all matrix elements to the value \b a | 
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| 121 | template <class T> | 
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| 122 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SetCst(T a) | 
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| 123 | { | 
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| 124 | if (mElems.Size() < 1) | 
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| 125 | throw SzMismatchError("SpecialSquareMatrix<T>::SetCst(T )- (this) not allocated !"); | 
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| 126 | mElems = a; | 
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| 127 | return (*this); | 
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| 128 | } | 
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| 129 |  | 
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| 130 |  | 
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| 131 | //! Element by element copy method | 
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| 132 | template <class T> | 
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| 133 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::Set(SpecialSquareMatrix<T> const & a) | 
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| 134 | { | 
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| 135 | if (a.mType != mType) | 
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| 136 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Set(a)- Different type matrices"); | 
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| 137 | if (a.mElems.Size() < 1) | 
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| 138 | throw SzMismatchError("SpecialSquareMatrix<T>::Set(a)- Object a not allocated !"); | 
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| 139 | if (mElems.Size() < 1) { | 
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| 140 | mNrows = a.mNrows; | 
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| 141 | mElems.CloneOrShare(a.mElems); | 
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| 142 | return (*this); | 
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| 143 | } | 
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| 144 | if (mNrows != a.mNrows) | 
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| 145 | throw SzMismatchError("SpecialSquareMatrix<T>::Set(a)- NRows() != a.NRows() ! "); | 
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| 146 | mElems = a.mElems; | 
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| 147 | return (*this); | 
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| 148 | } | 
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| 149 |  | 
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| 150 | //! Set the matrix elements using the values from the sequence \b seq | 
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| 151 | template <class T> | 
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| 152 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SetSeq(Sequence const & seq) | 
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| 153 | { | 
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| 154 | if (mElems.Size() < 1) | 
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| 155 | throw SzMismatchError("SpecialSquareMatrix<T>::SetSeq()- (this) not allocated !"); | 
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| 156 | for(size_t k=0; k<mElems.Size(); k++)  seq(k).Convert(mElems(k)); | 
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| 157 | return (*this); | 
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| 158 | } | 
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| 159 |  | 
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| 160 | //! Add a constant value (\b b ) to all matrix elements | 
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| 161 | template <class T> | 
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| 162 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::AddCst(T b) | 
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| 163 | { | 
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| 164 | if (mElems.Size() < 1) | 
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| 165 | throw SzMismatchError("SpecialSquareMatrix<T>::AddCst(T )- (this) not allocated !"); | 
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| 166 | mElems += b; | 
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| 167 | return (*this); | 
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| 168 | } | 
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| 169 |  | 
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| 170 | //! Subtract a constant value (\b b ) from all matrix elements. fginv==true -> elem = b-elem | 
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| 171 | template <class T> | 
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| 172 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SubCst(T b, bool fginv) | 
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| 173 | { | 
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| 174 | if (mElems.Size() < 1) | 
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| 175 | throw SzMismatchError("SpecialSquareMatrix<T>::Subst(T )- (this) not allocated !"); | 
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| 176 | if (fginv) | 
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| 177 | mElems = mElems.Sub(b, true); | 
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| 178 | else   mElems -= b; | 
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| 179 | return (*this); | 
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| 180 | } | 
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| 181 |  | 
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| 182 | //! Multiply all matrix elements by a constant value \b b . | 
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| 183 | template <class T> | 
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| 184 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::MulCst(T b) | 
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| 185 | { | 
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| 186 | if (mElems.Size() < 1) | 
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| 187 | throw SzMismatchError("SpecialSquareMatrix<T>::MulCst(T )- (this) not allocated !"); | 
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| 188 | mElems *= b; | 
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| 189 | return (*this); | 
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| 190 | } | 
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| 191 |  | 
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| 192 | //! Divide all matrix elements by a constant value \b b . if fginv==true elem = b / elem | 
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| 193 | template <class T> | 
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| 194 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::DivCst(T b, bool fginv) | 
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| 195 | { | 
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| 196 | if (mElems.Size() < 1) | 
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| 197 | throw SzMismatchError("SpecialSquareMatrix<T>::DivCst(T )- (this) not allocated !"); | 
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| 198 | if (fginv)  mElems = mElems.Div(b, true); | 
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| 199 | else mElems /= b; | 
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| 200 | return (*this); | 
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| 201 | } | 
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| 202 |  | 
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| 203 | //! Element by element addition : elem(l,m) = elem(l,m) + b.elem(l,m) | 
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| 204 | template <class T> | 
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| 205 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::AddElt(SpecialSquareMatrix<T> const& b) | 
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| 206 | { | 
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| 207 | if (b.mType != mType) | 
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| 208 | throw TypeMismatchExc("SpecialSquareMatrix<T>::AddElt() Different type matrices"); | 
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| 209 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
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| 210 | throw SzMismatchError("SpecialSquareMatrix<T>::AddElt()- Not allocated or different sizes !"); | 
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| 211 | mElems += b.mElems; | 
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| 212 | return (*this); | 
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| 213 | } | 
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| 214 |  | 
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| 215 | //! Element by element subtraction : elem(l,m) = elem(l,m) - b.elem(l,m) | 
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| 216 | template <class T> | 
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| 217 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SubElt(SpecialSquareMatrix<T> const& b) | 
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| 218 | { | 
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| 219 | if (b.mType != mType) | 
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| 220 | throw TypeMismatchExc("SpecialSquareMatrix<T>::SubElt() Different type matrices"); | 
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| 221 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
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| 222 | throw SzMismatchError("SpecialSquareMatrix<T>::SubElt()- Not allocated or different sizes !"); | 
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| 223 | mElems -= b.mElems; | 
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| 224 | return (*this); | 
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| 225 | } | 
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| 226 | //! Element by element multiplication : elem(l,m) = elem(l,m) * b.elem(l,m) | 
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| 227 | template <class T> | 
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| 228 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::MulElt(SpecialSquareMatrix<T> const& b) | 
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| 229 | { | 
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| 230 | if (b.mType != mType) | 
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| 231 | throw TypeMismatchExc("SpecialSquareMatrix<T>::MulElt() Different type matrices"); | 
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| 232 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
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| 233 | throw SzMismatchError("SpecialSquareMatrix<T>::MulElt()- Not allocated or different sizes !"); | 
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| 234 | mElems *= b.mElems; | 
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| 235 | return (*this); | 
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| 236 | } | 
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| 237 | //! Element by element divison : elem(l,m) = elem(l,m) / b.elem(l,m) | 
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| 238 | template <class T> | 
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| 239 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::DivElt(SpecialSquareMatrix<T> const& b) | 
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| 240 | { | 
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| 241 | if (b.mType != mType) | 
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| 242 | throw TypeMismatchExc("SpecialSquareMatrix<T>::DivElt() Different type matrices"); | 
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| 243 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
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| 244 | throw SzMismatchError("SpecialSquareMatrix<T>::DivElt()- Not allocated or different sizes !"); | 
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| 245 | mElems /= b.mElems; | 
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| 246 | return (*this); | 
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| 247 | } | 
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| 248 |  | 
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| 249 |  | 
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| 250 | //! Return the minimum and the maximum values of the SpecialSquare Matrix elements | 
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| 251 | /*! | 
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| 252 | This method generates an exception (\c MathExc) if called for complex matrices | 
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| 253 | */ | 
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| 254 | template <class T> | 
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| 255 | void SpecialSquareMatrix<T>::MinMax(T& min, T& max) const | 
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| 256 | { | 
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| 257 | const T * pe = mElems.Begin(); | 
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| 258 | min = pe[0]; | 
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| 259 | max = pe[0]; | 
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| 260 | for(size_t k=0; k<mElems.Size(); k++) { | 
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| 261 | if (pe[k]<min)  min = pe[k]; | 
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| 262 | else if (pe[k]>max)  max = pe[k]; | 
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| 263 | } | 
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| 264 | return; | 
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| 265 | } | 
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| 266 |  | 
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| 267 | DECL_TEMP_SPEC  /* equivalent a template <> , pour SGI-CC en particulier */ | 
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| 268 | void SpecialSquareMatrix< complex<r_4> >::MinMax(complex<r_4>& min, complex<r_4>& max) const | 
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| 269 | { | 
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| 270 | throw MathExc("SpecialSquareMatrix< complex<r_4> >::MinMax(...) - No order in complex"); | 
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| 271 | } | 
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| 272 | DECL_TEMP_SPEC  /* equivalent a template <> , pour SGI-CC en particulier */ | 
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| 273 | void SpecialSquareMatrix< complex<r_8> >::MinMax(complex<r_8>& min, complex<r_8>& max) const | 
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| 274 | { | 
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| 275 | throw MathExc("SpecialSquareMatrix< complex<r_4> >::MinMax(...) - No order in complex"); | 
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| 276 | } | 
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| 277 |  | 
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| 278 | //! Short ASCII representatio of the object pushed to stream \b os | 
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| 279 | template <class T> | 
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| 280 | ostream& SpecialSquareMatrix<T>::Show(ostream& os) const | 
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| 281 | { | 
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| 282 | os << typeid(*this).name() << " < " << typeid(T).name() | 
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| 283 | << " > NRow=" << mNrows << " NbElem<>0 : " << Size() << endl; | 
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| 284 | return os; | 
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| 285 | } | 
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| 286 |  | 
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| 287 |  | 
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| 288 | /////////////////////////////////////////////////////////////// | 
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| 289 | #ifdef __CXX_PRAGMA_TEMPLATES__ | 
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| 290 | #pragma define_template SpecialSquareMatrix<uint_1> | 
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| 291 | #pragma define_template SpecialSquareMatrix<uint_2> | 
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| 292 | #pragma define_template SpecialSquareMatrix<uint_4> | 
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| 293 | #pragma define_template SpecialSquareMatrix<uint_8> | 
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| 294 | #pragma define_template SpecialSquareMatrix<int_1> | 
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| 295 | #pragma define_template SpecialSquareMatrix<int_2> | 
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| 296 | #pragma define_template SpecialSquareMatrix<int_4> | 
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| 297 | #pragma define_template SpecialSquareMatrix<int_8> | 
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| 298 | #pragma define_template SpecialSquareMatrix<r_4> | 
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| 299 | #pragma define_template SpecialSquareMatrix<r_8> | 
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| 300 | #pragma define_template SpecialSquareMatrix< complex<r_4> > | 
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| 301 | #pragma define_template SpecialSquareMatrix< complex<r_8> > | 
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| 302 | #ifdef SO_LDBLE128 | 
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| 303 | #pragma define_template SpecialSquareMatrix<r_16> | 
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| 304 | #pragma define_template SpecialSquareMatrix< complex<r_16> > | 
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| 305 | #endif | 
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| 306 | #endif | 
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| 307 |  | 
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| 308 | #if defined(ANSI_TEMPLATES) || defined(GNU_TEMPLATES) | 
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| 309 | template class SpecialSquareMatrix<uint_1>; | 
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| 310 | template class SpecialSquareMatrix<uint_2>; | 
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| 311 | template class SpecialSquareMatrix<uint_4>; | 
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| 312 | template class SpecialSquareMatrix<uint_8>; | 
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| 313 | template class SpecialSquareMatrix<int_1>; | 
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| 314 | template class SpecialSquareMatrix<int_2>; | 
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| 315 | template class SpecialSquareMatrix<int_4>; | 
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| 316 | template class SpecialSquareMatrix<int_8>; | 
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| 317 | template class SpecialSquareMatrix<r_4>; | 
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| 318 | template class SpecialSquareMatrix<r_8>; | 
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| 319 | template class SpecialSquareMatrix< complex<r_4> >; | 
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| 320 | template class SpecialSquareMatrix< complex<r_8> >; | 
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| 321 | #ifdef SO_LDBLE128 | 
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| 322 | template class SpecialSquareMatrix<r_16>; | 
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| 323 | template class SpecialSquareMatrix< complex<r_16> >; | 
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| 324 | #endif | 
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| 325 | #endif | 
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| 326 |  | 
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| 327 | }   // namespace SOPHYA | 
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| 328 |  | 
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